Existence and Uniqueness of Limit Cycle about Predator Prey System with Sparssing Effect
  Revised:November 10, 1996
Key Words: limit cycle   equilibrium points   system   uniqueness   existence.  
Fund Project:
Author NameAffiliation
Wu Xingqi Dept. of Math.
Dalian University
116622 
Liu Xuesheng Dept. of Math.
Dalian University
116622 
Zhao Zhenhai Dept. of Appl. Math.
Dalian University of Technology
116024 
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Abstract:
      A predator prey model with sparrssing effect is considered as follows:=x(ax-cx-by);=y(-α+βx-γy)(*). The main result is as follows: (1) when A<A,A2<A2,A3>A3,there at leastn exists a limit cycle of the system(*); (2) when A22,A3>A3,there exists unique limit cycle of the system(*).
Citation:
DOI:10.3770/j.issn:1000-341X.1997.01.014
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